Derivada de atan(x/9)
Answer
(1/9)*((1/81)*x^2+1)^(-1)
Derivative of atan(x/9)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: (1/9)*((1/81)*+1)^(-1)
A derivada de atan(x/9) é (1/9)*((1/81)*x^2+1)^(-1).
Solução passo a passo instantânea para atan(x/9)
Share this result
Derivative of atan(x/9) = (1/9)*((1/81)*x^2+1)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-atanx-minus-over-minus-9
Como encontrar a derivada de atan(x/9)
Para encontrar a derivada de atan(x/9), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de e^x
Resolver d/dx e^x
Derivada de ln(2x)
Resolver d/dx ln(2x)
Derivada de ln(x)
Resolver d/dx ln(x)
Derivada de -x
Resolver d/dx -x
Derivada de sec(x)
Resolver d/dx sec(x)
Derivada de sin(2x)
Resolver d/dx sin(2x)
Derivada de sin(x)^2
Resolver d/dx sin(x)^2
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Frequently Asked Questions
What is the derivative of atan(x/9)?▼
The derivative of atan(x/9) is (1/9)*((1/81)*x^2+1)^(-1).
How do you find the derivative of atan(x/9)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is (1/9)*((1/81)*x^2+1)^(-1).
Why is the derivative of atan(x/9) equal to (1/9)*((1/81)*x^2+1)^(-1)?▼
Because differentiation measures how a function changes — applying the rules to atan(x/9) yields (1/9)*((1/81)*x^2+1)^(-1). See the full step-by-step breakdown above.